FISICA AMBIENTALE 2 PARTICOLATO Antonio Ballarin Denti [email protected] LE PARTICELLE Volume fraction of aerosol particles in 4 quite different locations Stages in the absorption of gaseous SO2 ina raindrop Cattura di SO2 da parte di una goccia di pioggia c (r > R, t = 0) = c∞ c (r→∞, t ) = c∞ c (R, t) = cs (t)=0 c (r, t = 0) = 0 r≤R r = 0, t > 0 c (R, t) = cs t>0 c (r, t→∞ ) = cs r≤R Cattura di SO2 da parte di una goccia di pioggia Characteristic diffusion times in air and water for some drop sizes Dg = 10-5 m2 s-1 R(m) τair τdrop Da = 10-9 m2 s-1 10-3(1 mm) 10-4 10-5 (10 μm) 2.5 × 10-2 2.5 × 10-4 2.5 × 10-6 102 1 10-2 Fluxes at the interface air-water drop. The interface may be considered flat at x = 0 Cattura di SO2 da parte di una goccia di pioggia Derivation of Stokes’law Fluid is flowing from bottom to top with a non-slip condition at the surface. On the left one finds the general coordinate system, on the right the forces at the surface of the sphere. The drag is determinated by the components of the pressure force and tangential force in the direction of the flow. LE PARTICELLE Attrito su una singola particella